Tetrahedral Fulleroids |
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Authors: | Franti?ek Kardo? |
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Institution: | (1) Institute of Mathematics, P.J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia |
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Abstract: | Fulleroids are cubic convex polyhedra with faces of size 5 or greater. They are suitable models of carbon molecules. In this
paper sufficient and necessary conditions for existence of fulleroids of tetrahedral symmetry types and with pentagonal and
n-gonal faces only depending on number n are presented. Either infinite series of examples are found to prove existence or nonexistence is proved using symmetry invariants. |
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Keywords: | fullerene graphs fulleroids symmetry of polyhedra tetrahedral symmetry |
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